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Finding the Fourth Proportional to 14,965.61, 22,449.02 and 6,644.07

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Solution

The fourth proportional to 14,965.61, 22,449.02 and 6,644.07 is: 9,966.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.61 : 22,449.02 = 6,644.07 : x
  2. Step 2: Convert to fraction form
    14,965.61/22,449.02 = 6,644.07/x
  3. Step 3: Cross multiply
    14,965.61x = 22,449.02 × 6,644.07
  4. Step 4: Simplify right side
    14,965.61x = 149,152,827.09
  5. Step 5: Solve for x
    x = 149,152,827.09/14,965.61
  6. Step 6: Final answer
    x = 9,966.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.